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Finding the Third Proportional to 119,772 and 183,306

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Solution

The third proportional to 119,772 and 183,306 is: 280,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,772 : 183,306 = 183,306 : x
  2. Step 2: Convert to fraction form
    119,772/183,306 = 183,306/x
  3. Step 3: Cross multiply
    119,772x = 183,306 × 183,306
  4. Step 4: Simplify right side
    119,772x = 33,601,089,636
  5. Step 5: Solve for x
    x = 33,601,089,636/119,772
  6. Step 6: Final answer
    x = 280,542.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.